Prove the following identity: 2 cos 0+ sin cose tane Spor 2 cos E

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Given that the plane x+y+z=2, 2x+3y+z=2 and x+y≤1, x≥0, y≥0

Q: Investor Dan has $670,000 to invest in bonds. Bond A yields an average of 6% and the bond B yields…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

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Q: 1) Solve the problem. 1) A water tank is shaped like an inverted cone with height 18 m and base…

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Q: 3. List all of the permutations of S4. Find each of the following sets: a) {0 € S4:0 (1) = 3} b) {0…

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Q: Calculate Sxe 0 re-L₂ (x)L(x)dr by using Recurrence relation of Laguerre function, Ln

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Q: Q3:A. Determine the following function U is harmonic or not x y U= 3 + cos: ossin

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Q: Given f(x) = x3 + 5x2 + 2x - 8 a) Solve for f(x) > 0 and f(x) 0 and < 0

A: Let us consider a polynomial p(x)  The factor of the polynomial is obtained by using the hit and…

Q: Prove that sin x can be approximated by x − (x^3/6) within 0.01 on the interval [-1,1].

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Q: only Q3: It is given that ε = {x: x is an integer, 1 ≤ x16} A = (x:x is a perfect square} B = {x:x…

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Q: (b) What percentage of the eight population values stated above, fall within the interval (μ- σ, μ +…

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Q: In a population of fish, approximately 42% are female. A test is conducted to see if, in fact, the…

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Q: ONSTR the onowing mca x' (t) + 2x(t) == 0 where is an unknown function of the real variable t. 1.1)…

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Q: (10-x²)y" +5xy' + y = 0 Solve the given ODE by the POWER SERIES METHOD, if x = 0 is an ordin point.

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Q: Sketch and label both the original and the transformed functions on the same grid. f(x) = x g(x) =…

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Q: Create a diagram for the premises of the argument. Label each part of the diagram clearly. Then…

A: Let p = she lost the bet. q = she was late. Then the argument "Premise: If she lost the bet, then…

Q: Simplify the algebraic expression. x2+2xy +y2 X x y У x У

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Q: 5. Kelsey invested $3500 at 8.6% simple interest for 188 days. How much does Kelsey have now after…

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Q: Where is Yc

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Q: Sketch a graph of f(x) given the graph of f below. where f(x) = 2x - 3| + 1

A: This is the problem of a real-valued function.

Q: In some country, 90% of the daughters of working women also work and 20% of the daughters of…

A: Two matrices can only be multiplied, if the number of columns of the multiplicand matrix is equal to…

Q: 7) Find the Jacobian matrix at The print (1,2,1) of The Willowing Funchun: soudainish and Nidevorsh…

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A: We use theorem of order of group and order of elements of group .

Q: Let A = O O 5 31 5 0-31 36 Find a unitary matrix U and a diagonal matix D Such that H U₁AU = D. T

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Q: A 60-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 Ib…

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Q: = Let Co be the curve formed by the intersection of the surfaces x₁ = 2x² and X3 3x1x2, and let C be…

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Q: 2. Compute each of the following. (2bdm from 5.4) (2361)(CD) 10 (VCC1) (93)(VE) (EC) 19

A: Introduction: Multiplication is a mathematical operation that represents the fundamental concept of…

Q: 2. Let f(x) be a continuous function. If f'(x) > 0 for x>c and f'(x) <0 for x <c then what type of…

A: 2. Given f(x) is a continuous function. If f'(x) &gt;0 for x&gt;c and f'(x)&lt;0 for x&lt;c, then…

Q: . Evaluate (x² + y) dv G if G is the solid bounded by the parabolic cylinder z = y², xy-plane and…

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Q: dy (5) Solve the differential equation by variable separable y = csc y dr

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: (c) Consider the information given above and suppose that the number 10 was observed on 26 occasions…

A: here we data id provided that dice has 13 sides and it is rolled 208 times.

Q: 11. The angle between the vectors a and bis 60°. The magnitude of b is four times the magnitude of a…

A: It is given that the angle between the vectors a→ and b→ is 60°. The magnitude of b→ is four times…

Q: Find the smallest positive integer solution for the given system. x= 37 (mod 52) x=14(mod41) You…

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Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Find the triple integral to find the volume between the planes x+y+z=2 and 2x+3y+z=2 above x+y≤1,…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Solution

Q: B. find polar form of the complex number Z= = (2√3-4i) + (-√3+51).

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Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

A: The given problem is to expand and simplify the given expression using binomial theorem. Given…

Q: 6. Find the general solution of the following differential equation using variation of parameters.…

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Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: (a) Let f: (1, +∞) → R be a differentiable function. 1 (i) Assume that |ƒ'(x)| ≤ for all x > 1. Show…

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Q: With T defined by T(x) = Ax, find a vector x whose image under T is b, and determine whethe x is…

A: Given  A=10-3-3162-2-1, b=-23-1

Q: Show that lim(5x+2)=-18 x-> -4

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Q: Find the sloution of the given DE dy y-x dx y + x = Yexact y (0) = 1, h = 0.1 at x = 0.5 2 ? (find…

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Q: z¹ = -625 4 T Ln z = 1 - i 3 N

A: Solve for z.

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

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Q: Use the Saving for Retirement information above to answer this question. If your monthly payments…

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Q: Question 6 (a) Near a surface buoy the depth of a lake at the point with coordinates (x, y) is given…

A: Let us start solving the problem step by step  (a) Given coordinates are (x,y) Z=100+0.05x^2-0.02y^2…

Q: 3. Consider the matrix A provided. -6 b) CS Scanned with CamScanner 5 A = 0 4 3 1-2 5 Find the LU…

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Q: Attempt only if you can solve all parts I'll upvote your answer, otherwise I'll downvote Suppose…

A: Given: weight of an newborn fawn is uniformly distributed between 2.3 Kg and  3 Kg and newborn fawn…

Q: Differentiate -2t +3 g(t) = √√₁²²²

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